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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 628 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.Two trains, 70 m and 315 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  6. 6.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  8. 8.Two trains, 130 m and 350 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 76 km upstream and come back?
  12. 12.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  13. 13.Two trains, 120 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  21. 21.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  27. 27.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  28. 28.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  29. 29.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  30. 30.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 90 m and 295 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.Two trains, 70 m and 200 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  34. 34.Two trains, 220 m and 275 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  38. 38.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 8
  2. 14
  3. 8
  4. 725
  5. 11
  6. 3
  7. 260
  8. 12
  9. 20
  10. 260
  11. 40
  12. 24
  13. 8
  14. 34
  15. 15
  16. 80
  17. 90
  18. 20
  19. 9
  20. 45
  21. 3
  22. 480
  23. 8
  24. 160
  25. 16
  26. 28
  27. 345
  28. 420
  29. 33
  30. 9
  31. 17
  32. 11
  33. 9
  34. 11
  35. 22
  36. 125
  37. 23
  38. 190
  39. 8
  40. 14

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